Mathematics year 1–10 (MAT01‑05)
Competence aims and assessment

Examples of connections

Explanation

Competence aims after year 2

The pupil is expected to be able to

  • order numbers, sets and shapes based on their properties,
    compare

    To compare means to examine the character or qualities to discover resemblances or differences between two or more issues.

    them, and
    reflect

    To reflect means to examine and consider different aspects of your own and others’ actions, attitudes and ideas. We may also reflect on a subject, practical activities or our own learning. Reflection means testing out our own thoughts and attitudes to develop better insight and understanding.

    on whether they can be ordered in more ways
  • explore

    To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.

    numbers, sets and counting through play, nature, visual art, music and children’s literature, represent the numbers in different ways and translate between the different representations
  • experiment with counting, both up and down, choosing different starting points and various intervals, and
    describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    patterns in the countings
  • explore

    To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.

    and
    describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    general properties of even and odd numbers
  • describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    the positional system using different representations
  • place numbers on the number line, and
    use

    To use means to apply something or to carry out a task to reach a goal. To use, which is closely related to apply, is understood as to utilise or to employ, for example, a method or a tool.

    the number line for calculations and solving problems
  • explore

    To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.

    addition and subtraction and
    use

    To use means to apply something or to carry out a task to reach a goal. To use, which is closely related to apply, is understood as to utilise or to employ, for example, a method or a tool.

    this to formulate and solve problems from play and one's own everyday life
  • explore

    To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.

    the commutative and associative properties of addition and
    use

    To use means to apply something or to carry out a task to reach a goal. To use, which is closely related to apply, is understood as to utilise or to employ, for example, a method or a tool.

    these in mental arithmetic
  • recognise and
    describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    the repeating units in patterns, and make one’s own patterns
  • explore

    To explore refers to experiencing and experimenting, often encouraging curiosity and sense of wonder. To explore may mean to sense, seek, discover, observe and examine. In some cases, to explore means to investigate different aspects of an issue through open and critical discussion. To explore may also mean testing or trying out and evaluating work methods, products or equipment.

    , draw and
    describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    geometric shapes from one’s own local environment and argue for ways to sort them by properties
  • measure

    To measure a quantity or a property means to compare it to another quantity or property of the same kind.

    and
    compare

    To compare means to examine the character or qualities to discover resemblances or differences between two or more issues.

    quantities relating to length and area, using non-standard and standardised units of measurement,
    describe

    To describe means to portray or recount an experience, situation, work process or a topic. To describe something may also refer to using relevant terminology to systematise knowledge of a topic.

    how and discuss the results
  • explain how to tell the time using a clock and calendar
  • create and follow rules and step-by-step instructions during play and games

Formative assessment

Formative assessment shall help to promote learning and develop competence in mathematics. The pupils demonstrate and develop competence in the subject in years 1 and 2 when they can experiment with and describe different properties and structures in patterns of numbers and shapes, in exploratory play, art and everyday situations. The pupils also demonstrate and develop competence in mathematics when they wonder, ask mathematical questions and explain and argue for their own solutions. They also demonstrate and develop competence by using simple subject-related terminology.

The teacher shall facilitate for pupil participation and stimulate their desire to learn by allowing the pupils to explore mathematics through movement, play, wonder and using their senses. The teacher shall engage in dialogue with the pupils about their development in numeracy and understanding of numbers. The pupils shall have the opportunity to try and fail. With the competence the pupils have demonstrated as the starting point, they shall be given the opportunity to express what they experiency mastery in and what they master better than before. The teacher shall provide guidance on further learning and adapt the teaching to enable the pupils to use the guidance provided to develop their competence in exploration and problem solving related to numbers and patterns and in communicating using mathematical concepts.